What is the Greatest Common Factor of 65428 and 65448?

Greatest common factor (GCF) of 65428 and 65448 is 4.

GCF(65428,65448) = 4

We will now calculate the prime factors of 65428 and 65448, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 65428 and 65448.

How to find the GCF of 65428 and 65448?

We will first find the prime factorization of 65428 and 65448. After we will calculate the factors of 65428 and 65448 and find the biggest common factor number .

Step-1: Prime Factorization of 65428

Prime factors of 65428 are 2, 11, 1487. Prime factorization of 65428 in exponential form is:

65428 = 2² × 11¹ × 1487¹

Step-2: Prime Factorization of 65448

Prime factors of 65448 are 2, 3, 101. Prime factorization of 65448 in exponential form is:

65448 = 2³ × 3⁴ × 101¹

Step-3: Factors of 65428

List of positive integer factors of 65428 that divides 65428 without a remainder.

1, 2, 4, 11, 22, 44, 1487, 2974, 5948, 16357, 32714

Step-4: Factors of 65448

List of positive integer factors of 65448 that divides 65428 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 81, 101, 108, 162, 202, 216, 303, 324, 404, 606, 648, 808, 909, 1212, 1818, 2424, 2727, 3636, 5454, 7272, 8181, 10908, 16362, 21816, 32724

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 65428 and 65448. The biggest common factor number is the GCF number.
So the greatest common factor 65428 and 65448 is 4.

Also check out the Least Common Multiple of 65428 and 65448